Faces in Crystals of Affine Type A and the Shape of Canonical Basis Elements

Ola Amara-Omari, Ronit Mansour, Mary Schaps

For a dominant integral weight $\Lambda$ in a Lie algebra of affine type A and rank $e$, and an interval $I_0$ in the residue set $I$, we define the face for the interval $I_0$ to be the…